If x+a is a common factor of expression f(x)=x^(2)+px+q and g(x)=x^(2)+mx+n, show that a=(n-q)/(...

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if x+a is a factor of the polynomials `x^2+px+q` and `x^2+mx+n` prove that `a = (n-q)/(m-p)` if x+a is a factor of the polynomials `x^2+px+q` and `x^2+mx+n` prove that `a = (n-q)/(m-p)`
If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx+d, then (b-d)/(c-a) is eq... If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx+d, then (b-d)/(c-a) is eq...